An analytic approach to the asymptotic variance of trie statistics and related structures
| dc.citation.epage | 36 | en_US |
| dc.citation.issue | en_US | |
| dc.citation.spage | 1 | en_US |
| dc.citation.volume | 527 | en_US |
| dc.citation.woscount | 1 | |
| dc.contributor.author | Fuchs, Michael | en_US |
| dc.contributor.author | Hwang, Hsien-Kuei | en_US |
| dc.contributor.author | Zacharovas, Vytas | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:35:54Z | |
| dc.date.available | 2014-12-08T15:35:54Z | |
| dc.date.issued | 2014-03-27 | en_US |
| dc.description.abstract | We develop analytic tools for the asymptotics of general trie statistics, which are particularly advantageous for clarifying the asymptotic variance. Many concrete examples are discussed for which new Fourier expansions are given. The tools are also useful for other splitting processes with an underlying binomial distribution. We specially highlight Philippe Flajolet's contribution in the analysis of these random structures. (C) 2014 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.tcs.2014.01.024 | en_US |
| dc.identifier.issn | 0304-3975 | en_US |
| dc.identifier.journal | THEORETICAL COMPUTER SCIENCE | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.tcs.2014.01.024 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/24278 | |
| dc.identifier.wosnumber | WOS:000334011700001 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Digital trees | en_US |
| dc.subject | Binomial splitting process | en_US |
| dc.subject | Mellin transform | en_US |
| dc.subject | Variance | en_US |
| dc.subject | Periodic fluctuations | en_US |
| dc.subject | Contention resolution algorithms | en_US |
| dc.title | An analytic approach to the asymptotic variance of trie statistics and related structures | en_US |
| dc.type | Article | en_US |